From a point on a ground at a distance a from the foot of pole a ball is thrown at an angle of 45 degree which just touches the top of the pole and strikes the ground at a distance at distance b on the other side of it. Find the height of the pole.

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From a point on a ground at a distance a from the foot of pole a ball is thrown at an angle of 45 degree which just touches the top of the pole and strikes the ground at a distance at distance b on the other side of it. Find the height of the pole.
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